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This textbook invites readers to explore mathematical thinking by finding the beauty in the subject. With an accessible tone and stimulating puzzles, the author will convince curious non-mathematicians to continue their studies in the area. It has an expansive scope, covering everything from probability and graph theory to infinities and Newton’s method. Many examples of proofs appear as well, offering readers the opportunity to explore these topics with the amount of rigor that suits them. Programming exercises in Python are also included to show how math behaves in action. Mathematical Thinking is an ideal textbook for transition courses aimed at undergraduates moving from lower level to more advanced topics, as well as for math recruitment and invitational courses at the freshman or sophomore level. It may also be of interest in computer science departments and can be used as a supplemental text for courses in discrete mathematics and graph theory.

Mathematics. --- Number theory. --- Probabilities. --- General Mathematics. --- Number Theory. --- Probability Theory. --- Probability --- Statistical inference --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- Number study --- Numbers, Theory of --- Algebra --- Math --- Science --- Reasoning. --- Matemàtica --- Llibres de text --- Raonament

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This book focuses on discourses of the politics of history education and history textbooks. It offers a new insight into understanding of the nexus between ideology, the state, and nation-building, as depicted in history education and school textbooks. It especially focuses on the interpretation of social and political change, significant events, looking for possible biases and omissions, leadership and the contribution of key individuals, and continuities. The book discusses various aspects of historical narratives, and some selected key events in defining identity and nation-building. It considers the role of historiography in dominant historical narratives. It analyses history education, in both local and global settings, and its significance in promoting values education and intercultural and global understanding. It is argued that historical narratives add pedagogies, grounded in constructivist, metacognitive and transformational paradigms, have the power to engage the learner in significant and meaningful learning experiences, informed by multiple discourses of our historical narratives and those of other nations.

Sociology of education --- History of education and educational sciences --- Curriculum development --- Teaching --- Educational sciences --- History as a science --- History --- vergelijkende pedagogiek --- historiografie --- onderwijspolitiek --- geschiedenis --- onderwijs --- onderwijssociologie --- curriculumontwikkeling --- onderwijsonderzoek --- Education --- Historiography. --- International education. --- Comparative education. --- Education and state. --- Educational sociology. --- Curriculum Studies. --- Historiography and Method. --- International and Comparative Education. --- Educational Policy and Politics. --- Sociology of Education. --- History of Education. --- Curricula. --- Methodology. --- History. --- Ensenyament de la història --- Historiografia --- Llibres de text

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Textbooks --- Teaching --- Aids and devices --- School-books --- Schoolbooks --- Text-books --- Handbooks, vade-mecums, etc. --- Llibres de text --- Ensenyament --- Ciències de l'educació --- Activitats escolars --- Alumnes --- Analfabetisme --- Aprenentatge --- Beques --- Català en l'ensenyament --- Comunitats d'aprenentatge professional --- Currículums (Ensenyament) --- Didàctica --- Diferències entre sexes en l'educació --- Elecció d'escola --- Ensenyament a distància --- Ensenyament científic --- Ensenyament comercial --- Ensenyament correctiu --- Ensenyament d'economia i empresa --- Ensenyament de l'art --- Ensenyament de l'astronomia --- Ensenyament de la filosofia --- Ensenyament de la física --- Ensenyament de la literatura --- Ensenyament de la llengua --- Ensenyament de la matemàtica --- Ensenyament de la medicina --- Ensenyament de la música --- Ensenyament de les ciències naturals --- Ensenyament de les ciències socials --- Ensenyament del dret --- Ensenyament reflexiu --- Estudi de la natura --- Internet en l'ensenyament --- Llengua d'ensenyament --- Mitjans de comunicació de massa en l'ensenyament --- Narració de contes en l'ensenyament --- Pràctiques pedagògiques --- Qüestionament --- Sexisme en l'educació --- Educació --- Formació --- Museus en l'ensenyament --- Sistema educatiu --- Guies del mestre --- Guies del professor --- Guies didàctiques --- Llibre de text --- Llibres del mestre --- Llibres de l'alumne --- Llibres del professor --- Llibres escolars --- Manual escolar --- Manuals escolars --- Textos escolars --- Llibres --- Enciclopèdies escolars --- Lectures escolars --- Lectures instructives